Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof

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• 作者：J. Avan^a ; ^{jean.avan@u-cergy.fr" class="auth_mail" title="E-mail the corresponding author} ; S. Belliard^a ; ^{samuel.belliard@u-cergy.fr" class="auth_mail" title="E-mail the corresponding author} ; N. Grosjean^a ; ^{nicolas.grosjean@u-cergy.fr" class="auth_mail" title="E-mail the corresponding author} ; R.A. Pimenta^b ; ^c ; ^{pimenta@df.ufscar.br" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Nuclear Physics B
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：899
• 期：Complete
• 页码：229-246
• 全文大小：339 K

文摘

In this paper, we prove the off-shell equation satisfied by the transfer matrix associated with the XXZ spin-$\frac{1}{2}$ chain on the segment with two generic integrable boundaries acting on the Bethe vector. The essential step is to prove that the expression of the action of a modified creation operator on the Bethe vector has an off-shell structure which results in an inhomogeneous term in the eigenvalues and Bethe equations of the corresponding transfer matrix.